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Results tagged with cv.complex-variables
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user 14390
Complex analysis, holomorphic functions, automorphic group actions and forms, pseudoconvexity, complex geometry, analytic spaces, analytic sheaves.
0
votes
0
answers
182
views
Upper bound on the modulus of a power series and concentration inequalities for empirical pr...
This is a research question I encountered when I as studying solutions of
Lebesgue-Stieltjes integral equations. It is related to a new statistical
method I am developing (which I cannot expose now) a …
- 984
1
vote
0
answers
98
views
Higher order derivative of negative power of cosine function
This is a question I encountered in my own research on Generalized
Hyperbolic Secant (GHS) distributions. It is known that the Laplace transform of the
basis measure for this family is
$$L\left( \th …
- 984
5
votes
0
answers
362
views
Existence of zero-free strip of a Laplace transform (edited ..)
Problem
Let $\beta$ be a probability measure on $\mathbb{R}$, and define
$$
K = \left \{z \in \mathbb{C}: g\left(z\right)=\int_{-\infty}^{\infty}\exp\left(z x\right)\beta ( dx ) \text{ is well-define …
- 984
3
votes
When I can safely assume that a function is a Laplace transform of other function?
I would suggest the classic book "The Laplace transform" by David Vernon Widder. On its page 310, Theorem 14a states the following: A necessary and sufficient condition that $f(x)$ can be expressed in …
- 984